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Multiple Forcing T. Jech

Multiple Forcing By T. Jech

Multiple Forcing by T. Jech


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Summary

In this 1987 text Professor Jech gives a unified treatment of the various forcing methods used in set theory, and presents their important applications. Product forcing, iterated forcing and proper forcing have proved powerful tools when studying the foundations of mathematics, for instance in consistency proofs.

Multiple Forcing Summary

Multiple Forcing by T. Jech

In this 1987 text Professor Jech gives a unified treatment of the various forcing methods used in set theory, and presents their important applications. Product forcing, iterated forcing and proper forcing have proved powerful tools when studying the foundations of mathematics, for instance in consistency proofs. The book is based on graduate courses though some results are also included, making the book attractive to set theorists and logicians.

Table of Contents

Preface; Part I. Product Forcing: 1. Forcing and Boolean-valued models; 2. Properties of the generic extension; 3. Examples of generic reals; 4. Product forcing; 5. Examples of product forcing; 6. The Levy collapse; 7. Product measure forcing; Part II. Iterated Forcing: 8. Two step iteration; 9. Finite support iteration; 10. Martin's axiom; 11. Suslin's problem; 12. Whitehead's problem; 13. Kaplansky's conjecture; 14. Countable support iteration; 15. Borel's conjecture; Part III. Proper Forcing: 16. Stationary sets; 17. Infinite games on complete Boolean algebras; 18. Proper forcing; 19. Examples of proper forcing; 20. Iteration of proper forcing; 21. The Proper Forcing Axiom; 22. Martin's maximum; 23. Well-founded iteration; Bibliography; Index of symbols; Subject index; Author index.

Additional information

NLS9780521063845
9780521063845
0521063841
Multiple Forcing by T. Jech
New
Paperback
Cambridge University Press
2010-11-25
146
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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